SOLUTION: Amy is making small and large hamburger patties to store in her freezer. A small hamburger patty uses 1/6 pound and a large patty uses 1/3 pound of ground beef. She wants to make t
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Question 1150810: Amy is making small and large hamburger patties to store in her freezer. A small hamburger patty uses 1/6 pound and a large patty uses 1/3 pound of ground beef. She wants to make twice as many large patties as small patties. Using 10 pounds of ground beef, how many of each type of patty can she make?
Found 3 solutions by MathLover1, josgarithmetic, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let the number of the small hamburger patties be and the number of the large hamburger patties
given:
a small hamburger patty uses pound of ground beef: total
a large patty uses pound of ground beef: total
if she wants to make as many large patties as small patties, than
.....eq.1
if she using pounds of ground beef, than
......eq.2
substitute from eq.1
.............solve for
.........both sides multiply by
-> the number of the small hamburger patties
go to .....eq.1 substitute
-> the number of the large hamburger patties
check:
......eq.2
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
c, number of small
g, number of large
Simplify and solve the system.
---
---
substitute for g
----------how many small patties
evaluate g
----------how many large patties
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Since she wants to make twice as many large patties as small patties, consider one "batch" consisting of two large patties and one small patty.
The weight of one of those batches is 2(1/3)+1(1/6) = 5/6 pounds.
The number of batches she can make with 10 pounds of ground beef is 10(5/6) = 10*(6/5) = 12.
Since each batch contains 2 large patties and 1 small patty, with 10 pounds of ground beef she can make 20 large patties and 10 small patties.
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